Krull dimension of Malcev-Neumann rings

被引：7
|
作者：
Sonin, C [1 ]
机构：
[1] Moscow State Univ, Dept Algebra, Moscow 119899, Russia
来源：
COMMUNICATIONS IN ALGEBRA | 1998年 / 26卷 / 09期
关键词：
D O I：
10.1080/00927879808826317
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is known that if R is a right noetherian ring, then the corresponding Malcev-Neumann ring R * ((G)) is right noetherian and r.K.dim(R) = r.K.dim(R * ((G))). We prove that the right noetherianness is a necessary condition for a Malcev-Neuman ring to have right Krull dimension. Also, we consider uniform dimension of Malcev-Neumann rings. The results obtained are applied to some other ring constructions.
引用
收藏
页码：2915 / 2931
页数：17
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